What is the derivative of 3/2 x^2 ?

The derivative of 3/2 x^2 is 3x

What is the first derivative of 3/2 x^2 ?

The first derivative of 3/2 x^2 is 3x

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derivative of

\frac{3}{2} x^{2}

3 x

Solution steps

\frac{d}{d x} (\frac{3}{2} x^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{3}{2} \frac{d}{d x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{3}{2} \cdot 2 x^{2 - 1}

Simplify

\frac{3}{2} \cdot 2 x^{2 - 1} : 3 x

= 3 x

n = 3 \sum \infty \frac{n}{n + 2}

(1 + t^{2}) y^{^{'}} + 4 t y = (1 + t^{2})^{- 2}

\frac{d y}{d x} = \frac{( e ^{x - y} )}{1 + e ^{x}}, y (1) = 0

\int \frac{7 sin ^{3} ( x )}{cos ( x )} d x

h \to o lim (\frac{( 5 + h ) - ( 5 )}{h})